You could have put your public address in at https://www.antchain.xyz/ and would have seen immediately (after bittrex stated that the transaction went throug) that the amount was transferred to the ANS Blockchain and your public address. I described that above. The wallet is just needed to create a public address with a private key. After that you could delete it. Just wanted to make that clear. Yes it is right, that the wallet needs 3,5 hours to synch (if it is installed for the first time), but the transaction itself is very fast and can be seen on the ans blockchain immediatly.